Find the standard form equation of a circle given a center of (7, 14) and a point on the circle of (4, 15).

Answers

Answer 1

This is the standard form equation of the circle is [tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10

What is the standard form of equation?

The standard form equation of a circle is [tex](x - h)^{2}[/tex] + [tex](y - k)^{2}[/tex] = [tex]r^{2}[/tex], where (h, k) is the center of the circle and r is the radius.

Given the center of the circle as (7, 14) and a point on the circle as (4, 15), we can use the distance formula to find the radius:

r = [tex]\sqrt{(4 - 7)^{2} + (15 - 14)^{2} }[/tex] =  [tex]\sqrt{(-3)^{2} + (1)^{2} }[/tex]= [tex]\sqrt{9 + 1}[/tex] = [tex]\sqrt{10}[/tex]

So the standard form equation of the circle is:

[tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = [tex]\sqrt{(10)^{2} }[/tex]

Which can be written as:

[tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10

So the standard form equation of the circle is [tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10

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Related Questions

Paul wants to buy a new skateboard. The regular price of the skateboard before a 15% discount and before 4% tax is $40. What is the amount of money Paul will need to buy the skateboard after the discount and including tax

Answers

$45.76
$40 x 15% = $6
$40 - $6 = $44
$44 x 4% = $1.76
$44 + $1.76 = $45.76

Which theorem proves these triangles are similiar for brainliest

Answers

[tex]{\huge{\pink{\mathcal{AA\:postulate࿐❤}}}} [/tex]

Which perfect squares does the number 104 falls in between?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12 because  12, 24, 36, 48, 60, 72, 84, 96, 104

Step-by-step explanation:

4. If you buy 7 hamburgers and 3 slices of pizza from the Sizzler, you get Sl in change back from a

$20 bill. If you buy 8 hamburgers and 2 slices of pizza, you get $0.50 back from a $20 bill. Find

the price of a hamburger and the price of a slice of pizza.

Answers

Answer:

the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively

Step-by-step explanation:

Let us assume the price of a hamburger be x

And, the price of a slice of pizza be y

So the equations are

7x + 3y = 20-1

7x + 3y = 19........(1)

And,

8x + 2y = $19.50........(2)

Now multiply by 2 in equation 1 and 3 in equation 2

So,

14x + 6y = 38

16x + 6y = 39

-2x = -1

x = 0.5

so y =

4 + 2y = $19.50

2y = $19.50 - 4

y = 7.75

Hence, the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively

Write the polynomial below in the factored form.

y=x³+10x²+25x

y=[?](x+[ ])²

Answers

Answer:

apsppspspppp9ğpğğ999

ayuda porfavor!!!!
se lleva 22 puntos el que me responda bien

Answers

Answer:

i think is AAAAAAAAAAAAA

Step-by-step explanation:

Answer:

A) x=5 El signo es dividido

B) x=7

write an equation for a line perpendicular to y=-4x-4 and passing through the point (4,-4)

Answers

Answer:

Step-by-step explanation:

perp. 1/4

y + 4 = -1/4(x - 4)

y + 4 = -1/4x + 1

y = -1/4x - 3

Which number is equal to 100?

Answers

Answer:

10 square2

36 + 64 = 100. In other words, 6² + 8² = 10²

Answer:

C. 10^2

Step-by-step explanation:

When you have an exponent and the base is 10, the exponent is how many zeros there are total that come after the 1. There are 2 zeros after the 1 in 100, so 10^2 is the answer.

Gasoline is pumped at a rate of 3 gallons per minute into a container that already has 4 gallons inside it. Write a linear function that describes the amount of gas in the container over time. Then make a graph to show the amount of gas in the container over the first 5 minutes.

Answers

Answer:

con que te gusta el poyo frito eh

The equation representing the amount of gas in the container after time [x] minutes as y = 3x + 4. After first 5 minutes, the amount of gasoline would be 19 gallons.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

We have the following problem -

Gasoline is pumped at a rate of 3 gallons per minute into a container that already has 4 gallons inside it.

We can write the equation representing the amount of gas in the container after time [x] minutes as -

y = 3x + 4

Plot the graph. At 5 minutes, the amount of gasoline would be 19 gallons.

Therefore, the equation representing the amount of gas in the container after time [x] minutes as y = 3x + 4. After first 5 minutes, the amount of gasoline would be 19 gallons.

To solve more questions on straight lines, visit the link below-

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Select the correct answer.

If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?

A.
-6 and -1
B.
-1 and 6
C.
1 and 6
D.
-6 and 1

Answers

Answer:

6 and 1

Step-by-step explanation:

Let  x - 6 = 0   and x - 1 = 0

x = 6    and x = 1

what is the answer to -4 - (-7)

Answers

Answer:

3fufufuifjfjfjfjfjfnfnff

HELPPPP I DONT KNOW THE ANSWER PLEASE HELP ME

Answers

Answer:

IM PRETTY POSITIVE ITS B

PLS MARK BRAINLIEST

SORRY IF IM WRONG :P

Step-by-step explanation:

answer: B. 2x+3

h(x) = x+4
h(2x-5) = (2x-5)+4
h(2x-5) = 2x-1

h(h(2x-5)) = (2x-1)+4
h(h(2x-5)) = 2x+3

Please help me with this

Answers

(Q3-Q1)=IQR
(14-11)=IQR
3=IQR

IQR=3

identify the slope and y- intercept of the equation y = -3x

Answers

Answer: The slope is -3 and the y-intercept is (0,0)

Step-by-step explanation: Hope this helps, if it does can I get the brainliest answer

Answer:

Slope:  − 3

y-intercept:  ( 0 , 0 )

Step-by-step explanation:

The slope-intercept form is  y  =  m x  +  b.

Find the values of  m  and  b  using the form  y  =  m x  +  b .

m  =  −3 ; b =  0

The slope of the line is the value of  m , and the y-intercept is the value of  b .

Slope:  − 3

y-intercept:  ( 0 , 0 )

good luck, i hope this helps :)

Consider the inequality.

x + 3x < 24
Which value of x makes the inequality true?


A.5

B.6

C.7

D.8

Answers

Answer:

A.

Step-by-step explanation:

Solve inequality:

[tex]x + 3x<24\\4x<24\\x<6[/tex]

only one less than 6 is A. 5

Answer:

A

Step-by-step explanation:

(5) + 3(5) < 24

20 < 24

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If and , what is ? Write your answer in simplest form. When and , .

Answers

7920+48202849+820-891

8.6 is what percent of 32?Round to the nearest hundredth.​

Answers

Answer:

2.75

Step-by-step explanation:

8.6 is what precent of 32? =2.752

round to nearest hundredth= 2.75

I hope this helps :)

Answer:

2.75

Step-by-step explanation:

BIG BRAIN

Point s and point t are located at -6, 13 and 8, 13 on the coordinate plane what is the distance between the two points

Answers

Answer:

[tex]14[/tex] units

Step-by-step explanation:

Since both points have the same y-coordinate, we can calculate the distance between them by taking the absolute difference of their x-coordinates. Therefore, the distance between them is [tex]|-6-8|=|-14|=14[/tex] units. Hope this helps!

During each of the past three months, Tyler grew
by the following amounts: 1/8in., 3/16in., and 1/4in.
What is Tyler's total amount of growth over these
three months?
Answer with supporting work:

Answers

first you have to make all the fractions have a common denominator to add them so since 3/16 is the largest denominator you have to convert the others to have the denominator of 16. 1/8 = 2/16. 1/4 = 4/16. so if you add the numerators that’s 3 + 2 + 4 = 9. so the answer would be 9/16, and this cannot be simplified so it is your final answer:)

geometry multiple choice question HELLPPP

Answers

Answer:

27/36

Step-by-step explanation:

tan C = opp/adj

For angle C, the opposite leg is 27,a nd the adjacent leg is 36.

tan C = 27/36

Answer: 27/36

A dog named Zula set a record by popping 100 balloons in 44.49 seconds. Which shows the expanded form of 44.49?

Answers

Answer:

40+4+0.4+0.09

Step-by-step explanation:

what 5/8x + 1/2 (1/4x + 10)? ​

Answers

5+3x/4




5x+1/2(1/4+10). Distributive property
5x+x/8+5. Combine like terms
5+3x/4
The answer is
3/4x + 5

Solution:
5/8x + 1/2 (1/4x + 10)
5/8x + 1/8x + 5
3/4x + 5

someone please explain how to make a fraction into a decimal im confused will give brainliest to best answer also worth 25 points

Answers

Answer:

divide the numerator by the denominator and it should give you a decimal

Answer:if u don't get it tell me.

Step-by-step explanation:

Vienna bought 8 yards of fabric and paid $38.40. How many more ​ yards can she purchase with $30?​

Answers

Answer:

vienna can purchase 6 more yards

geometry multiple choice question HELPP

Answers

8.66 m. I definitely don’t know the formula but I’m learning something like this plus with my previous knowledge from this year I figured it out.

On a map, the distance between two towns is 2.5 inches, and 1 inch represents 6 miles.

What is the actual distance between the towns?

Enter your answer in the box.

mi

Answers

Answer:

15 miles

Step-by-step explanation:

1 = 6

6 x 2 = 12

6 x 0.5 = 3

12 + 3 = 15

Answer:

15 miles

Step-by-step explanation:

took k-12 test

1.1. Which statement explains why the two systems of equations below have the

same solution?

A

6x + 8y = -10

2x - 5y = 12

B

8x + 3y = 2

12x + 16y = -20

Answers

Answer:

B. The first equation in B is the sum of the equations in A, while the other is obtained

by multiplying the first equation in A by 2.

Step-by-step explanation:

If we add the first two equations that shown in A so

6x + 8y + 2x - 5y = -10 + 12

8x + 3y = 2

Now the first equation in A would be multiplied by 2

So

2(6x + 8y = -10)

12x + 16u = -20

Therefore the correct option is B.

A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Find 2 possible values for the length of each adjacent sides.

Answers

Answer:

18 cm ;

2 cm

Step-by-step explanation:

Length of each adjacent side = 1 :3

If 1 side = 6 ; the possible values of the adjacent side ;

That is side 2 ÷

If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm

If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm

Hence, the two Possible values of the adjacent side = 18 cm or 2 cm

8x-7=-5x+19 denklemini sağlayan, x'in değeri kaçtır? ​

Answers

Answer: X=2

Step-by-step explanation:

8x-7=-5x+19

=> 8x+5x=19+7 [Transforms]

=> 13x=26

=> x=26/13

So, x=2

Use the distributive property to remove the parentheses.
(3-v+2u)(-8)
Х
?

Answers

-8(3 - v + 2u)
-24 + 8v - 16u
You just have to distribute and multiply the value on the outside to each value inside the parentheses ;)
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